document.write( "Question 54181: I have been unable to find any examples of how to solve this type of problem.\r
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\n" ); document.write( "\n" ); document.write( "How do you solve an the absolute value of and expression w/a variable divided by a number equal a fraction
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Algebra.Com's Answer #36485 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
Let me show you an example:
\n" ); document.write( "First isolate the absolute value.
\n" ); document.write( "\"abs%28x-1%29%2F4=2%2F3\"
\n" ); document.write( "\"4%2Aabs%28x-1%29%2F4=%282%2F3%294\"
\n" ); document.write( "\"abs%28x-1%29=8%2F3\"
\n" ); document.write( "Then make two equations x-1=8/3 and x-1=-8/3 and solve both for x:
\n" ); document.write( "\"x-1=8%2F3\"
\n" ); document.write( "\"3%28x-1%29=%288%2F3%29%2A3\"
\n" ); document.write( "\"3x-3=8\"
\n" ); document.write( "\"3x-3%2B3=8%2B3\"
\n" ); document.write( "\"3x=11\"
\n" ); document.write( "\"3x%2F3=11%2F3\"
\n" ); document.write( "\"highlight%28x=11%2F3%29\"
\n" ); document.write( "\"highlight%28or%29\"
\n" ); document.write( "\"x-1=-8%2F3\"
\n" ); document.write( "\"3%28x-1%29=%28-8%2F3%29%2A3\"
\n" ); document.write( "\"3x-3=-8\"
\n" ); document.write( "\"3x-3%2B3=-8%2B3\"
\n" ); document.write( "\"3x=-5\"
\n" ); document.write( "\"3x%2F3=-5%2F3\"
\n" ); document.write( "\"highlight%28x=5%2F3%29\"
\n" ); document.write( "Happy Calculating!!!
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